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How to compute quotient rings?

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#number-theory #algebraic-number-theory #ideals #ideal-class-group
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Confusion about the class group

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#number-theory #field-theory #algebraic-number-theory #ideal-class-group
989
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Ideal Class Group Calculation: How to conclude the classes of two ideals are distinct

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#algebraic-number-theory #ideal-class-group
440
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Calculating this class number

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#number-theory #algebraic-number-theory #ideals #ideal-class-group
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Finding units in the ring of integers

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#number-theory #elementary-number-theory #algebraic-number-theory #ideal-class-group
981
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Calculating class numbers

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#algebraic-number-theory #ideals #principal-ideal-domains #cyclotomic-fields #ideal-class-group
122
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weaker upper bound of class number of O_k

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#number-theory #algebraic-geometry #arithmetic #ideal-class-group
279
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Understanding $p$-rank, $p$-Sylow subgroup, $2$-part, odd and even part of a group.

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#algebraic-number-theory #ideal-class-group
63
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How to guarantee non existence of order 4 elements in class group of a maximal order

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#algebraic-number-theory #sylow-theory #legendre-symbol #ideal-class-group
71
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What is the relation between torsion elements of the class group and covering spaces of curves?

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#abstract-algebra #algebraic-curves #covering-spaces #dedekind-domain #ideal-class-group
177
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Contradictory results when computing the Ideal class group of $\mathbb{Q}(\sqrt{-7})$

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#abstract-algebra #algebraic-number-theory #ideal-class-group
304
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Good way to check if an ideal is principal in cubic extensions

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#abstract-algebra #algebraic-number-theory #ideal-class-group
418
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Neukirch's interpretation of unit group and class group

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#number-theory #algebraic-number-theory #exact-sequence #ideal-class-group
109
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Help with the derivation of the class number formula

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#ring-theory #dirichlet-series #ideal-class-group
98
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What is the ideal class group?

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#ring-theory #ideals #ideal-class-group

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